Abstract

Light propagation in connection with communication by laser light is discussed. As a model of the field, with extension α and radius of curvature of wave surface l, uA = α−1 exp[−(ρ2/2α2)+jk(ρ2/2l)] is chosen. The field up after propagation to distance Z is up = β−1je exp[−(r2/2β2)−jk(Z+γr2)].

The position of minimum extension β is not the ordinary focus because of the significant effect of diffraction by the aperture. By use of these results, the condition of α and l is analyzed in order to transfer the light with minimum loss over the distance D through a pipe with the linear dimension ϕ, and the proper relay optical system is discussed.

© 1964 Optical Society of America

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